202 lines
		
	
	
		
			6.2 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
		
		
			
		
	
	
			202 lines
		
	
	
		
			6.2 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
|   | /* | ||
|  |  [auto_generated] | ||
|  |  boost/numeric/odeint/stepper/adams_moulton.hpp | ||
|  | 
 | ||
|  |  [begin_description] | ||
|  |  Implementation of the Adams-Moulton method. This is method is not a real stepper, it is more a helper class | ||
|  |  which computes the corrector step in the Adams-Bashforth-Moulton method. | ||
|  |  [end_description] | ||
|  | 
 | ||
|  |  Copyright 2011-2012 Karsten Ahnert | ||
|  |  Copyright 2011-2013 Mario Mulansky | ||
|  |  Copyright 2012 Christoph Koke | ||
|  | 
 | ||
|  |  Distributed under the Boost Software License, Version 1.0. | ||
|  |  (See accompanying file LICENSE_1_0.txt or | ||
|  |  copy at http://www.boost.org/LICENSE_1_0.txt) | ||
|  |  */ | ||
|  | 
 | ||
|  | 
 | ||
|  | #ifndef BOOST_NUMERIC_ODEINT_STEPPER_ADAMS_MOULTON_HPP_INCLUDED | ||
|  | #define BOOST_NUMERIC_ODEINT_STEPPER_ADAMS_MOULTON_HPP_INCLUDED | ||
|  | 
 | ||
|  | 
 | ||
|  | #include <boost/numeric/odeint/util/bind.hpp> | ||
|  | 
 | ||
|  | #include <boost/numeric/odeint/algebra/range_algebra.hpp> | ||
|  | #include <boost/numeric/odeint/algebra/default_operations.hpp> | ||
|  | #include <boost/numeric/odeint/algebra/algebra_dispatcher.hpp> | ||
|  | #include <boost/numeric/odeint/algebra/operations_dispatcher.hpp> | ||
|  | 
 | ||
|  | #include <boost/numeric/odeint/util/state_wrapper.hpp> | ||
|  | #include <boost/numeric/odeint/util/is_resizeable.hpp> | ||
|  | #include <boost/numeric/odeint/util/resizer.hpp> | ||
|  | 
 | ||
|  | #include <boost/numeric/odeint/stepper/stepper_categories.hpp> | ||
|  | #include <boost/numeric/odeint/stepper/runge_kutta4_classic.hpp> | ||
|  | 
 | ||
|  | #include <boost/numeric/odeint/stepper/detail/adams_moulton_call_algebra.hpp> | ||
|  | #include <boost/numeric/odeint/stepper/detail/adams_moulton_coefficients.hpp> | ||
|  | #include <boost/numeric/odeint/stepper/detail/rotating_buffer.hpp> | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 | ||
|  | namespace boost { | ||
|  | namespace numeric { | ||
|  | namespace odeint { | ||
|  | 
 | ||
|  | 
 | ||
|  | /* | ||
|  |  * Static implicit Adams-Moulton multistep-solver without step size control and without dense output. | ||
|  |  */ | ||
|  | template< | ||
|  | size_t Steps , | ||
|  | class State , | ||
|  | class Value = double , | ||
|  | class Deriv = State , | ||
|  | class Time = Value , | ||
|  | class Algebra = typename algebra_dispatcher< State >::algebra_type , | ||
|  | class Operations = typename operations_dispatcher< State >::operations_type , | ||
|  | class Resizer = initially_resizer | ||
|  | > | ||
|  | class adams_moulton | ||
|  | { | ||
|  | private: | ||
|  | 
 | ||
|  | 
 | ||
|  | public : | ||
|  | 
 | ||
|  |     typedef State state_type; | ||
|  |     typedef state_wrapper< state_type > wrapped_state_type; | ||
|  |     typedef Value value_type; | ||
|  |     typedef Deriv deriv_type; | ||
|  |     typedef state_wrapper< deriv_type > wrapped_deriv_type; | ||
|  |     typedef Time time_type; | ||
|  |     typedef Algebra algebra_type; | ||
|  |     typedef Operations operations_type; | ||
|  |     typedef Resizer resizer_type; | ||
|  |     typedef stepper_tag stepper_category; | ||
|  | 
 | ||
|  |     typedef adams_moulton< Steps , State , Value , Deriv , Time , Algebra , Operations , Resizer > stepper_type; | ||
|  | 
 | ||
|  |     static const size_t steps = Steps; | ||
|  | 
 | ||
|  |     typedef unsigned short order_type; | ||
|  |     static const order_type order_value = steps + 1; | ||
|  | 
 | ||
|  |     typedef detail::rotating_buffer< wrapped_deriv_type , steps > step_storage_type; | ||
|  | 
 | ||
|  |     adams_moulton( ) | ||
|  |     : m_coefficients() , m_dxdt() , m_resizer() , | ||
|  |       m_algebra_instance() , m_algebra( m_algebra_instance ) | ||
|  |     { } | ||
|  | 
 | ||
|  |     adams_moulton( algebra_type &algebra ) | ||
|  |     : m_coefficients() , m_dxdt() , m_resizer() , | ||
|  |       m_algebra_instance() , m_algebra( algebra ) | ||
|  |     { } | ||
|  | 
 | ||
|  |     adams_moulton& operator=( const adams_moulton &stepper ) | ||
|  |     { | ||
|  |         m_dxdt = stepper.m_dxdt; | ||
|  |         m_resizer = stepper.m_resizer; | ||
|  |         m_algebra = stepper.m_algebra; | ||
|  |         return *this; | ||
|  |     } | ||
|  | 
 | ||
|  |     order_type order( void ) const { return order_value; } | ||
|  | 
 | ||
|  | 
 | ||
|  |     /* | ||
|  |      * Version 1 : do_step( system , x , t , dt , buf ); | ||
|  |      * | ||
|  |      * solves the forwarding problem | ||
|  |      */ | ||
|  |     template< class System , class StateInOut , class StateIn , class ABBuf > | ||
|  |     void do_step( System system , StateInOut &x , StateIn const & pred , time_type t , time_type dt , const ABBuf &buf ) | ||
|  |     { | ||
|  |         do_step( system , x , pred , t , x , dt , buf ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class System , class StateInOut , class StateIn , class ABBuf > | ||
|  |     void do_step( System system , const StateInOut &x , StateIn const & pred , time_type t , time_type dt , const ABBuf &buf ) | ||
|  |     { | ||
|  |         do_step( system , x , pred , t , x , dt , buf ); | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 | ||
|  |     /* | ||
|  |      * Version 2 : do_step( system , in , t , out , dt , buf ); | ||
|  |      * | ||
|  |      * solves the forwarding problem | ||
|  |      */ | ||
|  |     template< class System , class StateIn , class PredIn , class StateOut , class ABBuf > | ||
|  |     void do_step( System system , const StateIn &in , const PredIn &pred , time_type t , StateOut &out , time_type dt , const ABBuf &buf ) | ||
|  |     { | ||
|  |         do_step_impl( system , in , pred , t , out , dt , buf ); | ||
|  |     } | ||
|  | 
 | ||
|  |     template< class System , class StateIn , class PredIn , class StateOut , class ABBuf > | ||
|  |     void do_step( System system , const StateIn &in , const PredIn &pred , time_type t , const StateOut &out , time_type dt , const ABBuf &buf ) | ||
|  |     { | ||
|  |         do_step_impl( system , in , pred , t , out , dt , buf ); | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 | ||
|  |     template< class StateType > | ||
|  |     void adjust_size( const StateType &x ) | ||
|  |     { | ||
|  |         resize_impl( x ); | ||
|  |     } | ||
|  | 
 | ||
|  |     algebra_type& algebra() | ||
|  |     {   return m_algebra; } | ||
|  | 
 | ||
|  |     const algebra_type& algebra() const | ||
|  |     {   return m_algebra; } | ||
|  | 
 | ||
|  | 
 | ||
|  | private: | ||
|  | 
 | ||
|  | 
 | ||
|  |     template< class System , class StateIn , class PredIn , class StateOut , class ABBuf > | ||
|  |     void do_step_impl( System system , const StateIn &in , const PredIn &pred , time_type t , StateOut &out , time_type dt , const ABBuf &buf ) | ||
|  |     { | ||
|  |         typename odeint::unwrap_reference< System >::type &sys = system; | ||
|  |         m_resizer.adjust_size( in , detail::bind( &stepper_type::template resize_impl<StateIn> , detail::ref( *this ) , detail::_1 ) ); | ||
|  |         sys( pred , m_dxdt.m_v , t ); | ||
|  |         detail::adams_moulton_call_algebra< steps , algebra_type , operations_type >()( m_algebra , in , out , m_dxdt.m_v , buf , m_coefficients , dt ); | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     template< class StateIn > | ||
|  |     bool resize_impl( const StateIn &x ) | ||
|  |     { | ||
|  |         return adjust_size_by_resizeability( m_dxdt , x , typename is_resizeable<deriv_type>::type() ); | ||
|  |     } | ||
|  | 
 | ||
|  | 
 | ||
|  |     const detail::adams_moulton_coefficients< value_type , steps > m_coefficients; | ||
|  |     wrapped_deriv_type m_dxdt; | ||
|  |     resizer_type m_resizer; | ||
|  | 
 | ||
|  | protected: | ||
|  | 
 | ||
|  |     algebra_type m_algebra_instance; | ||
|  |     algebra_type &m_algebra; | ||
|  | }; | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 | ||
|  | } // odeint | ||
|  | } // numeric | ||
|  | } // boost | ||
|  | 
 | ||
|  | 
 | ||
|  | 
 | ||
|  | #endif // BOOST_NUMERIC_ODEINT_STEPPER_ADAMS_MOULTON_HPP_INCLUDED |